SOLUTION: what are the five consecutive whole numbers that add up to 225

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Question 216960: what are the five consecutive whole numbers that add up to 225
Answer by drj(1380) About Me  (Show Source):
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What are the five consecutive whole numbers that add up to 225.

Step 1. Let n, n+1, n+2, n+3, n+4 be the five consecutive whole numbers.

Step 2. Then, n+n+1+n+2+n+3+n+4=5n+10=225 since these numbers add to 225.

Step 3. Subtract 10 from both sides of the equation in Step 2.

5n%2B10-10=225-10

5n=215

Divide 5 to both sides of the equation

5n%2F5=215%2F5

n=43 n%2B1=44 n%2B2=45 n%2B3=46 n%2B4=47

Check sum...43+44+45+46+47=225...a true statement.

Step 4. ANSWER: The five consecutive integers are: 43, 44, 45, 46, and 47.

I hope the above steps and explanation were helpful.

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Also, good luck in your studies and contact me at
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Respectfully,
Dr J